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Finding the Fourth Proportional to 23,405.18, 35,107.77 and 7,822.81

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Solution

The fourth proportional to 23,405.18, 35,107.77 and 7,822.81 is: 11,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.18 : 35,107.77 = 7,822.81 : x
  2. Step 2: Convert to fraction form
    23,405.18/35,107.77 = 7,822.81/x
  3. Step 3: Cross multiply
    23,405.18x = 35,107.77 × 7,822.81
  4. Step 4: Simplify right side
    23,405.18x = 274,641,238.69
  5. Step 5: Solve for x
    x = 274,641,238.69/23,405.18
  6. Step 6: Final answer
    x = 11,734.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.